Exam III Practice Problems (liquids and pressures)

In summary: Well it is released and the rest of the energy is converted to heat. What was the force of friction then well i have no ideaIn summary, the conversation is about a student preparing for an exam and asking for help with various physics problems. They discuss using the Bernoulli equation, drawing free body diagrams, and solving for tension and forces. They also discuss using multiple choice questions to find the correct equations and using the formula for Archimedes' principle. The conversation also includes multiple questions about specific problems and the process of solving them, including using conservation of energy.
  • #71
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/fa02 Question 9. Why is it sin. Time starts from 0 so it should be cos
 
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  • #72
Alt+F4 said:
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/fa02 Question 9. Why is it sin. Time starts from 0 so it should be cos
The *position* as a function of time is 3 cos (wt). The velocity is the derivative of the position with respect to time so -3 w sin(wt) (I used the chain rule and the fact that the derivative of cos is - sin)
 
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  • #73
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/fa02 Question 13. THis should be it, I have done all the exams

Okay so I found Angular Velocity

W^2 = K/M
K = 72 from the above question
72/8 = W^2
W = 3

T= 2pi/3
t= 2.07.
 
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  • #74
nrqed said:
The *position* as a function of time is 3 cos (wt). The velocity is the derivative of the position with respect to time so -3 w sin(wt) (I used the chain rule and the fact that the derivative of cos is - sin)
hmm that was never mentioned in class, and not in lecture notes. He also specified we don't need to know calc, but i get what you are saying. Thanks
 
  • #75
Alt+F4 said:
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/fa02 Question 13. THis should be it, I have done all the exams

Okay so I found Angular Velocity

W^2 = K/M
K = 72 from the above question
72/8 = W^2
W = 3

T= 2pi/3
t= 2.07.

I bet the answer is half of that? Notice that the block will be in contact with the spring for only half the period (from equilibirum position to the farthest to the right and back to equilibirum)
 
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  • #76
nrqed said:
I bet the answer is half of that? Notice that the block will be in contact with the spring for only half the period (from equilibirum position to the farthest to the right and back to equilibirum)
ohhh ya. Thanks
 
  • #77
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/fa02 Question 19.


I found the pressure in Denver which is (1.29)(1.8)(1000)(9.8) = 22755.6

22755.6/1.01*10^5 = .22
Ans:.77
 
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  • #78
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/fa02 Question 20. It says Low tide the thing is floats freely on the surface

so what i did was

(1000)(9.8)(X) = (2)(9.8)

X = .002

So .002 is the volume displaced
the Volume of the Entire Cube is .02

.002/.02 = .1
which is not the answer
 
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  • #79
Alt+F4 said:
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/fa02 Question 20. It says Low tide the thing is floats freely on the surface

so what i did was

(1000)(9.8)(X) = (2)(9.8)

X = .002

So .002 is the volume displaced
the Volume of the Entire Cube is .02
ok but its mass is 2 kg so you could simply use mass over density = 0.02 m^3
.002/.02 = .1
which is not the answer
? you need to find the buoyant force an dthe force of gravity.
Then use -Tension +Buoyant force - mg =0
 
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  • #80
nrqed said:
ok but its mass is 2 kg so you could simply use mass over density = 0.02 m^3

? you need to find the buoyant force an dthe force of gravity.
Then use -Tension +Buoyant force - mg =0
why would there be tension? it is floating freely
 
  • #81
Alt+F4 said:
why would there be tension? it is floating freely
Sorry ! I looked at question 19! Sorry
 
  • #82
Alt+F4 said:
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/fa02 Question 20. It says Low tide the thing is floats freely on the surface

so what i did was

(1000)(9.8)(X) = (2)(9.8)

X = .002

So .002 is the volume displaced
the Volume of the Entire Cube is .02

.002/.02 = .1
which is not the answer
That's thefraction immersed. They want the fraction above the water line
 
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  • #83
nrqed said:
That's thefraction immersed. They want the fraction above the water line
o yaaaa, i think ima take a break for a while. I am losing it after i did 16 exams. Thanks
 
  • #84
Alt+F4 said:
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/sp01 Question 18

what i did was

pgy = .5p v^2

(1000)(9.8)(.03) = .5(1000)(V^2)

V = .77


Ans: .75

So why am i off by .2
only thing left is just this problem
 
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  • #85
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/fa03 Question 25

for this one i am just wondering why .1 was used, i would have used .4

(1000)(9.8)(.5) = (1000)(9.8)(.4 instead of .1) + .5 (1000)(V^2)
 
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  • #86
The left-hand side of the equation is describing the condition of water
at the TOP (why at top? because we know the Pressure = 1 atm there!)
The right-hand side describes the condition of the water somewhere else ...
Why would you want to describe water at height h = .4 m?
Where is the water that you are asked about?
Where is the water that has noticeable speed?
 
  • #87
http://online.physics.uiuc.edu/cgi/c...ice/exam3/fa05 Question 24-23. This should be it for a while since ima just do all the exam again


so for this problem i was thinking( i guess similar to the Ballastic one)

pgvdi - (mass of Cylinder + mass of Block) * 9.8 - tension

(1000)(9.8)( .005+ (.2 * .3*.3)) = X+ ( i don't know the mass of block) * 9.8 - 24.5

The .2*.3*.3 is the area of the cube,

Doc Al said:
Consider the forces acting on the cube: buoyant force, weight, tension from the string. Since the cube is in equilibrium, those forces must add to zero. Solve for the weight to find the mass.



Okay so Fbyonat - Tenstion - mg = 0

(1000)(9.8)(.2)(.3)(.3) - 24.5 = m(9.8)

M = 15.5

Edit: That is the mass of Plastic Cube

Now How can i get that small cylinder

(1000)(9.8)(.005) - 24.5 - mg = 0

M=2.5

Ans:7.5
Edit:

This is what i did and got the answer

is this true

(1000)(9.8)((.2*.3*.3)+.005)) = (mass of cube which i got + x) * 9.8

(1000)(9.8)(.023) = (15.5+X)*9.8
X=7.5
 
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  • #88
This link isn't working ...

If the .2x.3x.3 [m^3] plastic block is pulled down by Tension = 24.5 [N] ,
then you use your first equation to solve for the mass of plastic = 15.5 [kg]
(presuming that speed = 0)

If the small .005 [m^3] cylinder is being pulled upward by Tension,
then the Tension 24.5 [N] enters as a POSitive z-component Force.

Are you DRAWING the Force vectors on your diagrams?
 
  • #89
lightgrav said:
This link isn't working ...

If the .2x.3x.3 [m^3] plastic block is pulled down by Tension = 24.5 [N] ,
then you use your first equation to solve for the mass of plastic = 15.5 [kg]
(presuming that speed = 0)

If the small .005 [m^3] cylinder is being pulled upward by Tension,
then the Tension 24.5 [N] enters as a POSitive z-component Force.

Are you DRAWING the Force vectors on your diagrams?
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/fa05

O ya, i guess i need to draw out. I kept subtracting tension Thanks
 
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  • #90
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/fa02 14. So i just said K = 2, W = 2 M = 2 and found an imaginary Etotal.

then i found the kinetic energy of .01 and when i divide Etot / 4 i get the kinetic energy that my equation gave. What am i doing wrong
 
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  • #91
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/sp99 19, absolutely makes no sense. The steel marble will take room in the cup right? thus making the intial level higher unless the water overflows but they never stated that
 
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  • #92
Alt+F4 said:
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/fa02 14. So i just said K = 2, W = 2 M = 2 and found an imaginary Etotal.

then i found the kinetic energy of .01 and when i divide Etot / 4 i get the kinetic energy that my equation gave. What am i doing wrong
How did you find the KE at 0.01m? Hint: Consider the change in potential energy as the position changes, then use that to find the KE.
 
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  • #93
Alt+F4 said:
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/sp01 Question 18

what i did was

pgy = .5p v^2

(1000)(9.8)(.03) = .5(1000)(V^2)

V = .77


Ans: .75

So why am i off by .2



last question. Any hints?
 
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  • #94
Alt+F4 said:
http://online.physics.uiuc.edu/cgi/courses/shell/phys101/spring06/prep2a.pl?practice/exam3/sp99 19, absolutely makes no sense. The steel marble will take room in the cup right? thus making the intial level higher unless the water overflows but they never stated that
Sure the marble takes up room in the cup, but which raises the water level more: having the marble imbedded in the ice, or having the marble tossed in the water? (Hint: Which situation displaces more water?)
 
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  • #95
Alt+F4 said:
last question. Any hints?
You are only off by 0.02 m/s. Your method looks OK to me.
 
  • #96
Doc Al said:
Sure the marble takes up room in the cup, but which raises the water level more: having the marble imbedded in the ice, or having the marble tossed in the water? (Hint: Which situation displaces more water?)
okay so question 18, i understand that it will be the same as inital level, but then 19 there is an object in there that will take room so it will push the water up. I still don't see why the water would be lower? What happened to the water that was at the intial level?

Okay maybe this will clear it, when there saying slightly, how slight are we talking about?
 
  • #97
Alt+F4 said:
okay so question 18, i understand that it will be the same as inital level,
Why is that? What determines the volume of displaced fluid?

but then 19 there is an object in there that will take room so it will push the water up.
It's not just the fact that "it takes room" that's the key. How about this: Imagine a bathtub of water and a big toy boat floating in it. If I take a bowling ball, which will raise the water level in the bathtub more: (1) dropping the ball in the water, or (2) putting the ball on the boat so that the whole thing floats?

The key is: How much water is displaced?
 
  • #98
Thanks everyone for your help, I just aced another exam. I'll be back in a week for finals
 

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